LCM of 662, 951, 993, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 951, 993, 954 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 662, 951, 993, 954. So, keep reading to learn more.
Given numbers are 662,951,993,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,951,993,954 is 100100358.
Find LCM of 662,951,993,954 with Prime Factorization
| 2 | 662, 951, 993, 954 |
| 3 | 331, 951, 993, 477 |
| 331 | 331, 317, 331, 159 |
| 1, 317, 1, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 1 x 317 x 1 x 159 = 100100358
Therefore, the lowest common multiple of 662,951,993,954 is 100100358.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
662 x 951 x 993 x 954 = 596397932964
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
662 : 1, 2, 331, 662
951 : 1, 3, 317, 951
993 : 1, 3, 331, 993
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,951,993,954, is 1.
Now, the common factors can be found like this.
662:2x 331
951:3x 317
993:3x 331
954:2x 3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 331 = 5958
Therefore, the value for common factors is 5958.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 596397932964/(1x5958)
LCM = 596397932964/5958
LCM = 100100358
Thus, we can understand that the LCM of 662,951,993,954 is 100100358.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 662, 951, 993, 954
1. What is the LCM of 662, 951, 993, 954?
Answer: LCM of 662, 951, 993, 954 is 100100358.
2. How to calculate the LCM of 662, 951, 993, 954?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 662, 951, 993, 954.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.